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Finding the Fourth Proportional to 9,888.64, 14,832.96 and 3,312.96

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Solution

The fourth proportional to 9,888.64, 14,832.96 and 3,312.96 is: 4,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.64 : 14,832.96 = 3,312.96 : x
  2. Step 2: Convert to fraction form
    9,888.64/14,832.96 = 3,312.96/x
  3. Step 3: Cross multiply
    9,888.64x = 14,832.96 × 3,312.96
  4. Step 4: Simplify right side
    9,888.64x = 49,141,003.16
  5. Step 5: Solve for x
    x = 49,141,003.16/9,888.64
  6. Step 6: Final answer
    x = 4,969.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.